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Finding the Fourth Proportional to 45,438, 68,152.56 and 14,267.76

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Solution

The fourth proportional to 45,438, 68,152.56 and 14,267.76 is: 21,400.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,438 : 68,152.56 = 14,267.76 : x
  2. Step 2: Convert to fraction form
    45,438/68,152.56 = 14,267.76/x
  3. Step 3: Cross multiply
    45,438x = 68,152.56 × 14,267.76
  4. Step 4: Simplify right side
    45,438x = 972,384,369.47
  5. Step 5: Solve for x
    x = 972,384,369.47/45,438
  6. Step 6: Final answer
    x = 21,400.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.